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Finding the Fourth Proportional to 830,686.80, 1,146,347.10 and 448,713.48

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Solution

The fourth proportional to 830,686.80, 1,146,347.10 and 448,713.48 is: 619,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,686.80 : 1,146,347.10 = 448,713.48 : x
  2. Step 2: Convert to fraction form
    830,686.80/1,146,347.10 = 448,713.48/x
  3. Step 3: Cross multiply
    830,686.80x = 1,146,347.10 × 448,713.48
  4. Step 4: Simplify right side
    830,686.80x = 514,381,396,528.91
  5. Step 5: Solve for x
    x = 514,381,396,528.91/830,686.80
  6. Step 6: Final answer
    x = 619,224.23

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Double scale
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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.