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Finding the Fourth Proportional to 612,659.67, 918,308.47 and 462,412.77

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Solution

The fourth proportional to 612,659.67, 918,308.47 and 462,412.77 is: 693,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,659.67 : 918,308.47 = 462,412.77 : x
  2. Step 2: Convert to fraction form
    612,659.67/918,308.47 = 462,412.77/x
  3. Step 3: Cross multiply
    612,659.67x = 918,308.47 × 462,412.77
  4. Step 4: Simplify right side
    612,659.67x = 424,637,563,327.16
  5. Step 5: Solve for x
    x = 424,637,563,327.16/612,659.67
  6. Step 6: Final answer
    x = 693,105.14

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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.