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Finding the Fourth Proportional to 507,011, 761,264.12 and 282,809.48

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Solution

The fourth proportional to 507,011, 761,264.12 and 282,809.48 is: 424,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,011 : 761,264.12 = 282,809.48 : x
  2. Step 2: Convert to fraction form
    507,011/761,264.12 = 282,809.48/x
  3. Step 3: Cross multiply
    507,011x = 761,264.12 × 282,809.48
  4. Step 4: Simplify right side
    507,011x = 215,292,709,919.86
  5. Step 5: Solve for x
    x = 215,292,709,919.86/507,011
  6. Step 6: Final answer
    x = 424,631.24

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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.