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Finding the Fourth Proportional to 470,854.40, 706,281.60 and 284,230.40

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Solution

The fourth proportional to 470,854.40, 706,281.60 and 284,230.40 is: 426,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,854.40 : 706,281.60 = 284,230.40 : x
  2. Step 2: Convert to fraction form
    470,854.40/706,281.60 = 284,230.40/x
  3. Step 3: Cross multiply
    470,854.40x = 706,281.60 × 284,230.40
  4. Step 4: Simplify right side
    470,854.40x = 200,746,701,680.64
  5. Step 5: Solve for x
    x = 200,746,701,680.64/470,854.40
  6. Step 6: Final answer
    x = 426,345.60

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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.