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Finding the Fourth Proportional to 538,496.64, 807,657.12 and 380,246.40

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Solution

The fourth proportional to 538,496.64, 807,657.12 and 380,246.40 is: 570,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,496.64 : 807,657.12 = 380,246.40 : x
  2. Step 2: Convert to fraction form
    538,496.64/807,657.12 = 380,246.40/x
  3. Step 3: Cross multiply
    538,496.64x = 807,657.12 × 380,246.40
  4. Step 4: Simplify right side
    538,496.64x = 307,108,712,314.37
  5. Step 5: Solve for x
    x = 307,108,712,314.37/538,496.64
  6. Step 6: Final answer
    x = 570,307.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.