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Finding the Fourth Proportional to 507,686.92, 700,204.34 and 431,458.35

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Solution

The fourth proportional to 507,686.92, 700,204.34 and 431,458.35 is: 595,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,686.92 : 700,204.34 = 431,458.35 : x
  2. Step 2: Convert to fraction form
    507,686.92/700,204.34 = 431,458.35/x
  3. Step 3: Cross multiply
    507,686.92x = 700,204.34 × 431,458.35
  4. Step 4: Simplify right side
    507,686.92x = 302,109,009,667.71
  5. Step 5: Solve for x
    x = 302,109,009,667.71/507,686.92
  6. Step 6: Final answer
    x = 595,069.51

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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.