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Finding the Fourth Proportional to 527,210.64, 727,728.12 and 320,478.32

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Solution

The fourth proportional to 527,210.64, 727,728.12 and 320,478.32 is: 442,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,210.64 : 727,728.12 = 320,478.32 : x
  2. Step 2: Convert to fraction form
    527,210.64/727,728.12 = 320,478.32/x
  3. Step 3: Cross multiply
    527,210.64x = 727,728.12 × 320,478.32
  4. Step 4: Simplify right side
    527,210.64x = 233,221,085,314.36
  5. Step 5: Solve for x
    x = 233,221,085,314.36/527,210.64
  6. Step 6: Final answer
    x = 442,367.94

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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.