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Finding the Fourth Proportional to 514,714.86, 710,136.25 and 310,688.26

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Solution

The fourth proportional to 514,714.86, 710,136.25 and 310,688.26 is: 428,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,714.86 : 710,136.25 = 310,688.26 : x
  2. Step 2: Convert to fraction form
    514,714.86/710,136.25 = 310,688.26/x
  3. Step 3: Cross multiply
    514,714.86x = 710,136.25 × 310,688.26
  4. Step 4: Simplify right side
    514,714.86x = 220,630,995,875.43
  5. Step 5: Solve for x
    x = 220,630,995,875.43/514,714.86
  6. Step 6: Final answer
    x = 428,647.03

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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.