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Finding the Fourth Proportional to 470,730.30, 706,095.45 and 290,958.90

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Solution

The fourth proportional to 470,730.30, 706,095.45 and 290,958.90 is: 436,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,730.30 : 706,095.45 = 290,958.90 : x
  2. Step 2: Convert to fraction form
    470,730.30/706,095.45 = 290,958.90/x
  3. Step 3: Cross multiply
    470,730.30x = 706,095.45 × 290,958.90
  4. Step 4: Simplify right side
    470,730.30x = 205,444,755,427.01
  5. Step 5: Solve for x
    x = 205,444,755,427.01/470,730.30
  6. Step 6: Final answer
    x = 436,438.35

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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.