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Finding the Fourth Proportional to 661,507.10, 992,779.05 and 306,565.10

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Solution

The fourth proportional to 661,507.10, 992,779.05 and 306,565.10 is: 460,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,507.10 : 992,779.05 = 306,565.10 : x
  2. Step 2: Convert to fraction form
    661,507.10/992,779.05 = 306,565.10/x
  3. Step 3: Cross multiply
    661,507.10x = 992,779.05 × 306,565.10
  4. Step 4: Simplify right side
    661,507.10x = 304,351,408,741.16
  5. Step 5: Solve for x
    x = 304,351,408,741.16/661,507.10
  6. Step 6: Final answer
    x = 460,087.89

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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.