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Finding the Fourth Proportional to 426,461.60, 638,303.68 and 314,097.60

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Solution

The fourth proportional to 426,461.60, 638,303.68 and 314,097.60 is: 470,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,461.60 : 638,303.68 = 314,097.60 : x
  2. Step 2: Convert to fraction form
    426,461.60/638,303.68 = 314,097.60/x
  3. Step 3: Cross multiply
    426,461.60x = 638,303.68 × 314,097.60
  4. Step 4: Simplify right side
    426,461.60x = 200,489,653,959.17
  5. Step 5: Solve for x
    x = 200,489,653,959.17/426,461.60
  6. Step 6: Final answer
    x = 470,123.58

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1.5x scale

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.