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Finding the Fourth Proportional to 314,285.68, 433,210.71 and 212,279.14

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Solution

The fourth proportional to 314,285.68, 433,210.71 and 212,279.14 is: 292,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,285.68 : 433,210.71 = 212,279.14 : x
  2. Step 2: Convert to fraction form
    314,285.68/433,210.71 = 212,279.14/x
  3. Step 3: Cross multiply
    314,285.68x = 433,210.71 × 212,279.14
  4. Step 4: Simplify right side
    314,285.68x = 91,961,596,957.59
  5. Step 5: Solve for x
    x = 91,961,596,957.59/314,285.68
  6. Step 6: Final answer
    x = 292,605.11

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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.