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Finding the Fourth Proportional to 571,402.86, 788,531.58 and 313,276.74

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Solution

The fourth proportional to 571,402.86, 788,531.58 and 313,276.74 is: 432,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,402.86 : 788,531.58 = 313,276.74 : x
  2. Step 2: Convert to fraction form
    571,402.86/788,531.58 = 313,276.74/x
  3. Step 3: Cross multiply
    571,402.86x = 788,531.58 × 313,276.74
  4. Step 4: Simplify right side
    571,402.86x = 247,028,602,769.45
  5. Step 5: Solve for x
    x = 247,028,602,769.45/571,402.86
  6. Step 6: Final answer
    x = 432,319.51

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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.