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Finding the Fourth Proportional to 571,009.92, 787,983.48 and 316,356

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Solution

The fourth proportional to 571,009.92, 787,983.48 and 316,356 is: 436,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,009.92 : 787,983.48 = 316,356 : x
  2. Step 2: Convert to fraction form
    571,009.92/787,983.48 = 316,356/x
  3. Step 3: Cross multiply
    571,009.92x = 787,983.48 × 316,356
  4. Step 4: Simplify right side
    571,009.92x = 249,283,301,798.88
  5. Step 5: Solve for x
    x = 249,283,301,798.88/571,009.92
  6. Step 6: Final answer
    x = 436,565.62

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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.