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Finding the Fourth Proportional to 506,459.10, 699,128.74 and 315,566.80

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Solution

The fourth proportional to 506,459.10, 699,128.74 and 315,566.80 is: 435,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,459.10 : 699,128.74 = 315,566.80 : x
  2. Step 2: Convert to fraction form
    506,459.10/699,128.74 = 315,566.80/x
  3. Step 3: Cross multiply
    506,459.10x = 699,128.74 × 315,566.80
  4. Step 4: Simplify right side
    506,459.10x = 220,621,819,269.83
  5. Step 5: Solve for x
    x = 220,621,819,269.83/506,459.10
  6. Step 6: Final answer
    x = 435,616.26

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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.