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Finding the Fourth Proportional to 282,760.16, 390,210.29 and 155,443.95

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Solution

The fourth proportional to 282,760.16, 390,210.29 and 155,443.95 is: 214,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,760.16 : 390,210.29 = 155,443.95 : x
  2. Step 2: Convert to fraction form
    282,760.16/390,210.29 = 155,443.95/x
  3. Step 3: Cross multiply
    282,760.16x = 390,210.29 × 155,443.95
  4. Step 4: Simplify right side
    282,760.16x = 60,655,828,031.03
  5. Step 5: Solve for x
    x = 60,655,828,031.03/282,760.16
  6. Step 6: Final answer
    x = 214,513.35

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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.