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Finding the Fourth Proportional to 583,712, 805,522.56 and 315,440

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Solution

The fourth proportional to 583,712, 805,522.56 and 315,440 is: 435,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,712 : 805,522.56 = 315,440 : x
  2. Step 2: Convert to fraction form
    583,712/805,522.56 = 315,440/x
  3. Step 3: Cross multiply
    583,712x = 805,522.56 × 315,440
  4. Step 4: Simplify right side
    583,712x = 254,094,036,326.40
  5. Step 5: Solve for x
    x = 254,094,036,326.40/583,712
  6. Step 6: Final answer
    x = 435,307.20

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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.