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Finding the Fourth Proportional to 390,047.40, 583,775.10 and 283,127.40

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Solution

The fourth proportional to 390,047.40, 583,775.10 and 283,127.40 is: 423,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,047.40 : 583,775.10 = 283,127.40 : x
  2. Step 2: Convert to fraction form
    390,047.40/583,775.10 = 283,127.40/x
  3. Step 3: Cross multiply
    390,047.40x = 583,775.10 × 283,127.40
  4. Step 4: Simplify right side
    390,047.40x = 165,282,726,247.74
  5. Step 5: Solve for x
    x = 165,282,726,247.74/390,047.40
  6. Step 6: Final answer
    x = 423,750.36

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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.