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Finding the Fourth Proportional to 1,297,952,588.94, 1,946,931,319.18 and 315,379,959.95

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Solution

The fourth proportional to 1,297,952,588.94, 1,946,931,319.18 and 315,379,959.95 is: 473,070,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,952,588.94 : 1,946,931,319.18 = 315,379,959.95 : x
  2. Step 2: Convert to fraction form
    1,297,952,588.94/1,946,931,319.18 = 315,379,959.95/x
  3. Step 3: Cross multiply
    1,297,952,588.94x = 1,946,931,319.18 × 315,379,959.95
  4. Step 4: Simplify right side
    1,297,952,588.94x = 614,023,121,471,900,160
  5. Step 5: Solve for x
    x = 614,023,121,471,900,160/1,297,952,588.94
  6. Step 6: Final answer
    x = 473,070,531.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.