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Finding the Fourth Proportional to 708,089.70, 977,168.16 and 421,621.86

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Solution

The fourth proportional to 708,089.70, 977,168.16 and 421,621.86 is: 581,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,089.70 : 977,168.16 = 421,621.86 : x
  2. Step 2: Convert to fraction form
    708,089.70/977,168.16 = 421,621.86/x
  3. Step 3: Cross multiply
    708,089.70x = 977,168.16 × 421,621.86
  4. Step 4: Simplify right side
    708,089.70x = 411,995,457,151.98
  5. Step 5: Solve for x
    x = 411,995,457,151.98/708,089.70
  6. Step 6: Final answer
    x = 581,840.77

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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.