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Finding the Fourth Proportional to 472,437,555.80, 708,656,333.70 and 424,820,442.20

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Solution

The fourth proportional to 472,437,555.80, 708,656,333.70 and 424,820,442.20 is: 637,230,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,437,555.80 : 708,656,333.70 = 424,820,442.20 : x
  2. Step 2: Convert to fraction form
    472,437,555.80/708,656,333.70 = 424,820,442.20/x
  3. Step 3: Cross multiply
    472,437,555.80x = 708,656,333.70 × 424,820,442.20
  4. Step 4: Simplify right side
    472,437,555.80x = 301,051,697,050,264,768
  5. Step 5: Solve for x
    x = 301,051,697,050,264,768/472,437,555.80
  6. Step 6: Final answer
    x = 637,230,663.30

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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.