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Finding the Fourth Proportional to 401,358.78, 602,038.20 and 152,040.78

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Solution

The fourth proportional to 401,358.78, 602,038.20 and 152,040.78 is: 228,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,358.78 : 602,038.20 = 152,040.78 : x
  2. Step 2: Convert to fraction form
    401,358.78/602,038.20 = 152,040.78/x
  3. Step 3: Cross multiply
    401,358.78x = 602,038.20 × 152,040.78
  4. Step 4: Simplify right side
    401,358.78x = 91,534,357,517.80
  5. Step 5: Solve for x
    x = 91,534,357,517.80/401,358.78
  6. Step 6: Final answer
    x = 228,061.18

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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.