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Finding the Fourth Proportional to 390,345.16, 538,461.12 and 269,549.88

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Solution

The fourth proportional to 390,345.16, 538,461.12 and 269,549.88 is: 371,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,345.16 : 538,461.12 = 269,549.88 : x
  2. Step 2: Convert to fraction form
    390,345.16/538,461.12 = 269,549.88/x
  3. Step 3: Cross multiply
    390,345.16x = 538,461.12 × 269,549.88
  4. Step 4: Simplify right side
    390,345.16x = 145,142,130,280.67
  5. Step 5: Solve for x
    x = 145,142,130,280.67/390,345.16
  6. Step 6: Final answer
    x = 371,830.23

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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.