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Finding the Fourth Proportional to 614,748, 848,378.16 and 346,476

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Solution

The fourth proportional to 614,748, 848,378.16 and 346,476 is: 478,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,748 : 848,378.16 = 346,476 : x
  2. Step 2: Convert to fraction form
    614,748/848,378.16 = 346,476/x
  3. Step 3: Cross multiply
    614,748x = 848,378.16 × 346,476
  4. Step 4: Simplify right side
    614,748x = 293,942,671,364.16
  5. Step 5: Solve for x
    x = 293,942,671,364.16/614,748
  6. Step 6: Final answer
    x = 478,151.49

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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.