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Finding the Fourth Proportional to 513,032.16, 707,970.80 and 286,679.52

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Solution

The fourth proportional to 513,032.16, 707,970.80 and 286,679.52 is: 395,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,032.16 : 707,970.80 = 286,679.52 : x
  2. Step 2: Convert to fraction form
    513,032.16/707,970.80 = 286,679.52/x
  3. Step 3: Cross multiply
    513,032.16x = 707,970.80 × 286,679.52
  4. Step 4: Simplify right side
    513,032.16x = 202,960,729,118.02
  5. Step 5: Solve for x
    x = 202,960,729,118.02/513,032.16
  6. Step 6: Final answer
    x = 395,610.15

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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.