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Finding the Fourth Proportional to 760,189.56, 1,049,069 and 420,657

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Solution

The fourth proportional to 760,189.56, 1,049,069 and 420,657 is: 580,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,189.56 : 1,049,069 = 420,657 : x
  2. Step 2: Convert to fraction form
    760,189.56/1,049,069 = 420,657/x
  3. Step 3: Cross multiply
    760,189.56x = 1,049,069 × 420,657
  4. Step 4: Simplify right side
    760,189.56x = 441,298,218,333
  5. Step 5: Solve for x
    x = 441,298,218,333/760,189.56
  6. Step 6: Final answer
    x = 580,510.76

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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.