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Finding the Fourth Proportional to 725,235, 999,784.92 and 509,706.12

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Solution

The fourth proportional to 725,235, 999,784.92 and 509,706.12 is: 702,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,235 : 999,784.92 = 509,706.12 : x
  2. Step 2: Convert to fraction form
    725,235/999,784.92 = 509,706.12/x
  3. Step 3: Cross multiply
    725,235x = 999,784.92 × 509,706.12
  4. Step 4: Simplify right side
    725,235x = 509,596,492,407.71
  5. Step 5: Solve for x
    x = 509,596,492,407.71/725,235
  6. Step 6: Final answer
    x = 702,663.95

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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.