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Finding the Fourth Proportional to 472,396,130.30, 708,594,195.45 and 429,349,409.30

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Solution

The fourth proportional to 472,396,130.30, 708,594,195.45 and 429,349,409.30 is: 644,024,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,396,130.30 : 708,594,195.45 = 429,349,409.30 : x
  2. Step 2: Convert to fraction form
    472,396,130.30/708,594,195.45 = 429,349,409.30/x
  3. Step 3: Cross multiply
    472,396,130.30x = 708,594,195.45 × 429,349,409.30
  4. Step 4: Simplify right side
    472,396,130.30x = 304,234,499,249,866,304
  5. Step 5: Solve for x
    x = 304,234,499,249,866,304/472,396,130.30
  6. Step 6: Final answer
    x = 644,024,113.95

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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.