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Finding the Fourth Proportional to 415,885.40, 623,828.10 and 389,641.40

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Solution

The fourth proportional to 415,885.40, 623,828.10 and 389,641.40 is: 584,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,885.40 : 623,828.10 = 389,641.40 : x
  2. Step 2: Convert to fraction form
    415,885.40/623,828.10 = 389,641.40/x
  3. Step 3: Cross multiply
    415,885.40x = 623,828.10 × 389,641.40
  4. Step 4: Simplify right side
    415,885.40x = 243,069,254,243.34
  5. Step 5: Solve for x
    x = 243,069,254,243.34/415,885.40
  6. Step 6: Final answer
    x = 584,462.10

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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.