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Finding the Fourth Proportional to 283,038.32, 390,430.68 and 176,870

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Solution

The fourth proportional to 283,038.32, 390,430.68 and 176,870 is: 243,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,038.32 : 390,430.68 = 176,870 : x
  2. Step 2: Convert to fraction form
    283,038.32/390,430.68 = 176,870/x
  3. Step 3: Cross multiply
    283,038.32x = 390,430.68 × 176,870
  4. Step 4: Simplify right side
    283,038.32x = 69,055,474,371.60
  5. Step 5: Solve for x
    x = 69,055,474,371.60/283,038.32
  6. Step 6: Final answer
    x = 243,979.24

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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.