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Finding the Fourth Proportional to 282,798.28, 390,251.58 and 155,473

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Solution

The fourth proportional to 282,798.28, 390,251.58 and 155,473 is: 214,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,798.28 : 390,251.58 = 155,473 : x
  2. Step 2: Convert to fraction form
    282,798.28/390,251.58 = 155,473/x
  3. Step 3: Cross multiply
    282,798.28x = 390,251.58 × 155,473
  4. Step 4: Simplify right side
    282,798.28x = 60,673,583,897.34
  5. Step 5: Solve for x
    x = 60,673,583,897.34/282,798.28
  6. Step 6: Final answer
    x = 214,547.22

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1.5x scale

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.