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Finding the Fourth Proportional to 385,603.20, 578,318.40 and 253,411.20

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Solution

The fourth proportional to 385,603.20, 578,318.40 and 253,411.20 is: 380,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,603.20 : 578,318.40 = 253,411.20 : x
  2. Step 2: Convert to fraction form
    385,603.20/578,318.40 = 253,411.20/x
  3. Step 3: Cross multiply
    385,603.20x = 578,318.40 × 253,411.20
  4. Step 4: Simplify right side
    385,603.20x = 146,552,359,726.08
  5. Step 5: Solve for x
    x = 146,552,359,726.08/385,603.20
  6. Step 6: Final answer
    x = 380,060.02

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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.