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Finding the Fourth Proportional to 719,285.88, 992,646.90 and 413,461.56

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Solution

The fourth proportional to 719,285.88, 992,646.90 and 413,461.56 is: 570,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,285.88 : 992,646.90 = 413,461.56 : x
  2. Step 2: Convert to fraction form
    719,285.88/992,646.90 = 413,461.56/x
  3. Step 3: Cross multiply
    719,285.88x = 992,646.90 × 413,461.56
  4. Step 4: Simplify right side
    719,285.88x = 410,421,335,803.16
  5. Step 5: Solve for x
    x = 410,421,335,803.16/719,285.88
  6. Step 6: Final answer
    x = 570,595.57

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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.