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Finding the Fourth Proportional to 527,746.16, 728,298.52 and 286,036.48

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Solution

The fourth proportional to 527,746.16, 728,298.52 and 286,036.48 is: 394,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,746.16 : 728,298.52 = 286,036.48 : x
  2. Step 2: Convert to fraction form
    527,746.16/728,298.52 = 286,036.48/x
  3. Step 3: Cross multiply
    527,746.16x = 728,298.52 × 286,036.48
  4. Step 4: Simplify right side
    527,746.16x = 208,319,945,050.01
  5. Step 5: Solve for x
    x = 208,319,945,050.01/527,746.16
  6. Step 6: Final answer
    x = 394,735.12

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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.