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Finding the Fourth Proportional to 602,484.08, 830,746.32 and 384,400.96

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Solution

The fourth proportional to 602,484.08, 830,746.32 and 384,400.96 is: 530,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,484.08 : 830,746.32 = 384,400.96 : x
  2. Step 2: Convert to fraction form
    602,484.08/830,746.32 = 384,400.96/x
  3. Step 3: Cross multiply
    602,484.08x = 830,746.32 × 384,400.96
  4. Step 4: Simplify right side
    602,484.08x = 319,339,682,924.47
  5. Step 5: Solve for x
    x = 319,339,682,924.47/602,484.08
  6. Step 6: Final answer
    x = 530,038.38

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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.