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Finding the Fourth Proportional to 583,749, 805,573.62 and 315,477

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Solution

The fourth proportional to 583,749, 805,573.62 and 315,477 is: 435,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,749 : 805,573.62 = 315,477 : x
  2. Step 2: Convert to fraction form
    583,749/805,573.62 = 315,477/x
  3. Step 3: Cross multiply
    583,749x = 805,573.62 × 315,477
  4. Step 4: Simplify right side
    583,749x = 254,139,948,916.74
  5. Step 5: Solve for x
    x = 254,139,948,916.74/583,749
  6. Step 6: Final answer
    x = 435,358.26

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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.