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Finding the Fourth Proportional to 614,708, 848,303.64 and 346,436

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Solution

The fourth proportional to 614,708, 848,303.64 and 346,436 is: 478,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,708 : 848,303.64 = 346,436 : x
  2. Step 2: Convert to fraction form
    614,708/848,303.64 = 346,436/x
  3. Step 3: Cross multiply
    614,708x = 848,303.64 × 346,436
  4. Step 4: Simplify right side
    614,708x = 293,882,919,827.04
  5. Step 5: Solve for x
    x = 293,882,919,827.04/614,708
  6. Step 6: Final answer
    x = 478,085.40

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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.