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Finding the Fourth Proportional to 514,617.90, 710,210.10 and 310,718.42

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Solution

The fourth proportional to 514,617.90, 710,210.10 and 310,718.42 is: 428,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,617.90 : 710,210.10 = 310,718.42 : x
  2. Step 2: Convert to fraction form
    514,617.90/710,210.10 = 310,718.42/x
  3. Step 3: Cross multiply
    514,617.90x = 710,210.10 × 310,718.42
  4. Step 4: Simplify right side
    514,617.90x = 220,675,360,140.04
  5. Step 5: Solve for x
    x = 220,675,360,140.04/514,617.90
  6. Step 6: Final answer
    x = 428,814.00

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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.