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Finding the Fourth Proportional to 570,473.90, 787,224 and 312,301.38

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Solution

The fourth proportional to 570,473.90, 787,224 and 312,301.38 is: 430,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,473.90 : 787,224 = 312,301.38 : x
  2. Step 2: Convert to fraction form
    570,473.90/787,224 = 312,301.38/x
  3. Step 3: Cross multiply
    570,473.90x = 787,224 × 312,301.38
  4. Step 4: Simplify right side
    570,473.90x = 245,851,141,569.12
  5. Step 5: Solve for x
    x = 245,851,141,569.12/570,473.90
  6. Step 6: Final answer
    x = 430,959.49

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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.