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Finding the Fourth Proportional to 565,159.48, 779,744.16 and 347,139.50

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Solution

The fourth proportional to 565,159.48, 779,744.16 and 347,139.50 is: 478,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,159.48 : 779,744.16 = 347,139.50 : x
  2. Step 2: Convert to fraction form
    565,159.48/779,744.16 = 347,139.50/x
  3. Step 3: Cross multiply
    565,159.48x = 779,744.16 × 347,139.50
  4. Step 4: Simplify right side
    565,159.48x = 270,679,993,931.60
  5. Step 5: Solve for x
    x = 270,679,993,931.60/565,159.48
  6. Step 6: Final answer
    x = 478,944.45

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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.