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Finding the Fourth Proportional to 497,667,985.40, 746,501,978.10 and 437,201,809.40

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Solution

The fourth proportional to 497,667,985.40, 746,501,978.10 and 437,201,809.40 is: 655,802,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,667,985.40 : 746,501,978.10 = 437,201,809.40 : x
  2. Step 2: Convert to fraction form
    497,667,985.40/746,501,978.10 = 437,201,809.40/x
  3. Step 3: Cross multiply
    497,667,985.40x = 746,501,978.10 × 437,201,809.40
  4. Step 4: Simplify right side
    497,667,985.40x = 326,372,015,545,999,168
  5. Step 5: Solve for x
    x = 326,372,015,545,999,168/497,667,985.40
  6. Step 6: Final answer
    x = 655,802,714.10

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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.