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Finding the Fourth Proportional to 429,710.08, 643,347.06 and 357,079.78

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Solution

The fourth proportional to 429,710.08, 643,347.06 and 357,079.78 is: 534,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,710.08 : 643,347.06 = 357,079.78 : x
  2. Step 2: Convert to fraction form
    429,710.08/643,347.06 = 357,079.78/x
  3. Step 3: Cross multiply
    429,710.08x = 643,347.06 × 357,079.78
  4. Step 4: Simplify right side
    429,710.08x = 229,726,226,648.45
  5. Step 5: Solve for x
    x = 229,726,226,648.45/429,710.08
  6. Step 6: Final answer
    x = 534,607.49

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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.