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Finding the Fourth Proportional to 474,344,642.40, 710,455,280.40 and 389,409,986.40

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Solution

The fourth proportional to 474,344,642.40, 710,455,280.40 and 389,409,986.40 is: 583,243,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,344,642.40 : 710,455,280.40 = 389,409,986.40 : x
  2. Step 2: Convert to fraction form
    474,344,642.40/710,455,280.40 = 389,409,986.40/x
  3. Step 3: Cross multiply
    474,344,642.40x = 710,455,280.40 × 389,409,986.40
  4. Step 4: Simplify right side
    474,344,642.40x = 276,658,381,078,372,160
  5. Step 5: Solve for x
    x = 276,658,381,078,372,160/474,344,642.40
  6. Step 6: Final answer
    x = 583,243,398.05

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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.