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Finding the Fourth Proportional to 390,947.40, 586,421.10 and 124,727.40

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Solution

The fourth proportional to 390,947.40, 586,421.10 and 124,727.40 is: 187,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,947.40 : 586,421.10 = 124,727.40 : x
  2. Step 2: Convert to fraction form
    390,947.40/586,421.10 = 124,727.40/x
  3. Step 3: Cross multiply
    390,947.40x = 586,421.10 × 124,727.40
  4. Step 4: Simplify right side
    390,947.40x = 73,142,779,108.14
  5. Step 5: Solve for x
    x = 73,142,779,108.14/390,947.40
  6. Step 6: Final answer
    x = 187,091.10

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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.