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Finding the Fourth Proportional to 312,475.61, 470,043.84 and 283,246.40

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Solution

The fourth proportional to 312,475.61, 470,043.84 and 283,246.40 is: 426,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,475.61 : 470,043.84 = 283,246.40 : x
  2. Step 2: Convert to fraction form
    312,475.61/470,043.84 = 283,246.40/x
  3. Step 3: Cross multiply
    312,475.61x = 470,043.84 × 283,246.40
  4. Step 4: Simplify right side
    312,475.61x = 133,138,225,522.18
  5. Step 5: Solve for x
    x = 133,138,225,522.18/312,475.61
  6. Step 6: Final answer
    x = 426,075.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.