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Finding the Fourth Proportional to 514,715.86, 710,137.63 and 310,689.26

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Solution

The fourth proportional to 514,715.86, 710,137.63 and 310,689.26 is: 428,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,715.86 : 710,137.63 = 310,689.26 : x
  2. Step 2: Convert to fraction form
    514,715.86/710,137.63 = 310,689.26/x
  3. Step 3: Cross multiply
    514,715.86x = 710,137.63 × 310,689.26
  4. Step 4: Simplify right side
    514,715.86x = 220,632,134,762.85
  5. Step 5: Solve for x
    x = 220,632,134,762.85/514,715.86
  6. Step 6: Final answer
    x = 428,648.41

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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.