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Finding the Fourth Proportional to 335,038.20, 502,646.40 and 145,417.20

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Solution

The fourth proportional to 335,038.20, 502,646.40 and 145,417.20 is: 218,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,038.20 : 502,646.40 = 145,417.20 : x
  2. Step 2: Convert to fraction form
    335,038.20/502,646.40 = 145,417.20/x
  3. Step 3: Cross multiply
    335,038.20x = 502,646.40 × 145,417.20
  4. Step 4: Simplify right side
    335,038.20x = 73,093,432,078.08
  5. Step 5: Solve for x
    x = 73,093,432,078.08/335,038.20
  6. Step 6: Final answer
    x = 218,164.47

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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.