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Finding the Fourth Proportional to 390,461.48, 538,792.44 and 220,695.20

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Solution

The fourth proportional to 390,461.48, 538,792.44 and 220,695.20 is: 304,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,461.48 : 538,792.44 = 220,695.20 : x
  2. Step 2: Convert to fraction form
    390,461.48/538,792.44 = 220,695.20/x
  3. Step 3: Cross multiply
    390,461.48x = 538,792.44 × 220,695.20
  4. Step 4: Simplify right side
    390,461.48x = 118,908,905,304.29
  5. Step 5: Solve for x
    x = 118,908,905,304.29/390,461.48
  6. Step 6: Final answer
    x = 304,534.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.