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Finding the Fourth Proportional to 407,381.32, 610,187.46 and 249,130

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Solution

The fourth proportional to 407,381.32, 610,187.46 and 249,130 is: 373,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,381.32 : 610,187.46 = 249,130 : x
  2. Step 2: Convert to fraction form
    407,381.32/610,187.46 = 249,130/x
  3. Step 3: Cross multiply
    407,381.32x = 610,187.46 × 249,130
  4. Step 4: Simplify right side
    407,381.32x = 152,016,001,909.80
  5. Step 5: Solve for x
    x = 152,016,001,909.80/407,381.32
  6. Step 6: Final answer
    x = 373,154.08

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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.