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Finding the Fourth Proportional to 472,435,643.80, 708,653,465.70 and 424,818,530.20

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Solution

The fourth proportional to 472,435,643.80, 708,653,465.70 and 424,818,530.20 is: 637,227,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,435,643.80 : 708,653,465.70 = 424,818,530.20 : x
  2. Step 2: Convert to fraction form
    472,435,643.80/708,653,465.70 = 424,818,530.20/x
  3. Step 3: Cross multiply
    472,435,643.80x = 708,653,465.70 × 424,818,530.20
  4. Step 4: Simplify right side
    472,435,643.80x = 301,049,123,719,810,112
  5. Step 5: Solve for x
    x = 301,049,123,719,810,112/472,435,643.80
  6. Step 6: Final answer
    x = 637,227,795.30

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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.