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Finding the Fourth Proportional to 314,986,167.60, 472,479,251.40 and 257,543,300.40

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Solution

The fourth proportional to 314,986,167.60, 472,479,251.40 and 257,543,300.40 is: 386,314,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,986,167.60 : 472,479,251.40 = 257,543,300.40 : x
  2. Step 2: Convert to fraction form
    314,986,167.60/472,479,251.40 = 257,543,300.40/x
  3. Step 3: Cross multiply
    314,986,167.60x = 472,479,251.40 × 257,543,300.40
  4. Step 4: Simplify right side
    314,986,167.60x = 121,683,865,776,077,312
  5. Step 5: Solve for x
    x = 121,683,865,776,077,312/314,986,167.60
  6. Step 6: Final answer
    x = 386,314,950.60

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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.