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Finding the Fourth Proportional to 514,073.94, 709,430.88 and 281,521.35

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Solution

The fourth proportional to 514,073.94, 709,430.88 and 281,521.35 is: 388,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,073.94 : 709,430.88 = 281,521.35 : x
  2. Step 2: Convert to fraction form
    514,073.94/709,430.88 = 281,521.35/x
  3. Step 3: Cross multiply
    514,073.94x = 709,430.88 × 281,521.35
  4. Step 4: Simplify right side
    514,073.94x = 199,719,939,069.29
  5. Step 5: Solve for x
    x = 199,719,939,069.29/514,073.94
  6. Step 6: Final answer
    x = 388,504.31

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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.