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Finding the Fourth Proportional to 514,468.77, 709,570.64 and 310,306.85

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Solution

The fourth proportional to 514,468.77, 709,570.64 and 310,306.85 is: 427,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,468.77 : 709,570.64 = 310,306.85 : x
  2. Step 2: Convert to fraction form
    514,468.77/709,570.64 = 310,306.85/x
  3. Step 3: Cross multiply
    514,468.77x = 709,570.64 × 310,306.85
  4. Step 4: Simplify right side
    514,468.77x = 220,184,630,039.69
  5. Step 5: Solve for x
    x = 220,184,630,039.69/514,468.77
  6. Step 6: Final answer
    x = 427,984.45

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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.